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be satis ed in the rise portion of the cam pro le The differences between this example and the rst are the displacement constraints at x = 36 deg and at x = 90 deg Figures 55 and 56 show the results obtained by applying both the conventional polynomial approach and the spline method with uniform spacing of the knots, exactly as was done in the rst example In both cases all the constraints are satis ed, but there is a dip in the velocity curve and a reversal of acceleration near the end of the rise This feature is more pronounced in the case of the polynomial function Fig 57 shows the result of adjusting the positions of the interior knots: the acceleration reversal is eliminated and the peak value of acceleration near 135 deg is reduced If there is a rational approach to the selection of knots to achieve a speci c effect in cases such as this, it has not yet been determined However, in general, it is possible to introduce local adjustments in the synthesized cam motion by making adjustments in the knot sequence Here, a simple trial-and-error procedure was used, and the results shown were obtained in only a few minutes The results shown were obtained with the interior knots at x = 50 deg, x = 95 deg, and x = 100 deg

Part I:

// Cast a long into a uint, no data lost l = 64000; u = (uint) l; ConsoleWriteLine("u after assigning 64000: " + u + " -- no data lost"); // Cast a long into a uint, data lost l = -12; u = (uint) l; ConsoleWriteLine("u after assigning -12: " + u + " -- data lost"); ConsoleWriteLine(); // Cast an int into a char b = 88; // ASCII code for X ch = (char) b; ConsoleWriteLine("ch after assigning 88: " + ch); } }

You can theoretically add the second measure to your existing table; however, the results displayed will not be correct

The output from the program is shown here:

Displacement (cm) Velocity (cm/rad) Acceleration (cm/rad/rad) Constraint 1 0 45 90 Cam rotation angle (deg)

Integer outcome of x / y: 3 b after assigning 255: 255 -- no data lost b after assigning 257: 1 -- data lost s after assigning 32000: 32000 -- no data lost s after assigning 64000: -1536 -- data lost u after assigning 64000: 64000 -- no data lost u after assigning -12: 4294967284 -- data lost ch after assigning 88: X

For correct results, you must first synchronize the common dimensions as shown in Figure 23-4, which shows the Merge Dimension dialog with two query providers If your

Let s look at each assignment The cast of (x / y) to int results in the truncation of the fractional component, and information is lost No loss of information occurs when b is assigned the value 255 because a byte can hold the value 255 However, when the attempt is made to assign b the value 257, information loss occurs because 257 exceeds a byte s range In both cases the casts are needed because there is no implicit conversion from int to byte When the short variable s is assigned the value 32,000 through the uint variable u, no data is lost because a short can hold the value 32,000 However, in the next assignment, u has the value 64,000, which is outside the range of a short, and data is lost In both cases the casts are needed because there is no implicit conversion from uint to short Next, u is assigned the value 64,000 through the long variable l In this case, no data is lost because 64,000 is within the range of a uint However, when the value 12 is assigned to u, data is lost because a uint cannot hold negative numbers In both cases the casts are needed because there is no implicit conversion from long to uint Finally, no information is lost, but a cast is needed when assigning a byte value to a char

FIGURE 54 Cam follower displacement, velocity, and acceleration obtained from cycloidal motion in Example 2

3:

Part III:

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TABLE 53 Cam angle (degrees) 000 360 900 1800